【摘 要】
：
By virtue of the rational interpolation procedure and logarithmic strain, a direct approach is proposed to obtain elastic potentials that exactly match uniaxial
【机 构】
：
Shanghai Institute of Applied Mathematics and Mechanics
【基金项目】
：
the National Natural Science Foundation of China;the 211-Plan of the Education Committee of China;the Research Innovation Fund of Shanghai University
论文部分内容阅读
By virtue of the rational interpolation procedure and logarithmic strain, a direct approach is proposed to obtain elastic potentials that exactly match uniaxial data and shear data for elastomers. This approach reduces the determination of multi-axial elastic potentials to that of two one-dimensional potentials, thus bypassing usual cumbersome procedures of identifying a number of unknown parameters. Predictions of the suggested potential are derived for a general biaxial stretch test and compared with the classical data given by Rivlin and Saunders (Rivlin, R. S. and Saunders, D. W. Large elastic deformation of isotropic materials. VII:experiments on the deformation of rubber. Phill. Trans. Royal Soc. London A, 243, 251-288 (1951)). Good agreement is achieved with these extensive data.
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